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Finding the Fourth Proportional to 67,546.58, 101,290.10 and 35,949.02

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Solution

The fourth proportional to 67,546.58, 101,290.10 and 35,949.02 is: 53,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,546.58 : 101,290.10 = 35,949.02 : x
  2. Step 2: Convert to fraction form
    67,546.58/101,290.10 = 35,949.02/x
  3. Step 3: Cross multiply
    67,546.58x = 101,290.10 × 35,949.02
  4. Step 4: Simplify right side
    67,546.58x = 3,641,279,830.70
  5. Step 5: Solve for x
    x = 3,641,279,830.70/67,546.58
  6. Step 6: Final answer
    x = 53,907.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.